How many ways can 4 different flags be arranged on a pole? (2021)

How many ways can 4 different flags be arranged on a pole? (2021)

Step 1: Understand that we have 4 different flags to arrange.
Step 2: Recognize that the order in which we arrange the flags matters.
Step 3: Use the factorial notation to calculate the number of arrangements. The factorial of a number n (written as n!) is the product of all positive integers up to n.
Step 4: For 4 flags, we calculate 4! (4 factorial). This means we multiply 4 × 3 × 2 × 1.
Step 5: Calculate the multiplication: 4 × 3 = 12, then 12 × 2 = 24, and finally 24 × 1 = 24.
Step 6: Conclude that there are 24 different ways to arrange the 4 flags on the pole.

Permutations – The question tests the understanding of permutations, specifically how to arrange distinct objects.